We study generation of magnetic fields involving large spatial scales by time-and space-periodic small-scale parity-invariant flows. The anisotropic magnetic eddy diffusivity tensor is calculated by the standard procedure involving expansion of magnetic modes and their growth rates in power series in the scale ratio. Our simulations, conducted for flows with random harmonic composition and expo...

Griffiths, R.W. and Linden, P.F., 1981. The stabil i ty of buoyancy-dr iven coastal currents. Dyn. Atmos . Oceans, 5: 281--306. Buoyancy-dr iven boundary currents were generated in the labora tory by releasing buoyan t fluid f rom a source adjacent to a vertical boundary in a rota t ing container . The boundary removed the Coriolis force parallel to it, a l lowing the buoyan t fluid to spread i...

A universal integrable hierarchy underlying topological Landau-Ginzburg models of D-type is presented. Like the dispersionless Toda hierarchy, the new hierarchy has two distinct (" positive " and " negative ") set of flows. Special solutions corresponding to topological Landau-Ginzburg models of D-type are characterized by a Riemann-Hilbert problem, which can be converted into a generalized hod...

A function complex is introduced on the category of flows so that the model category of flows becomes a simplicial model category. This allows us to show that the homotopy branching space of the cone of a morphism of flows is homotopy equivalent to the cone of its image by the homotopy branching space functor. The crux of the proof is that the homotopy branching space of the terminal flow is co...

This article reviews the recent theories and models of space-time energy spectra in turbulent shear flows. The review is based on picture passage proposed by Taylor's frozen-flow hypothesis Kraichnan-Tennekes random sweeping hypothesis: convection small-scale eddies large-scale with a certain distortion, which determines peaks bandwidths spectra. data-refined stochastic data-based reconstructio...

A theory to describe the conversion of poloidal momentum into toroidal momentum by phase space structures in trapped ion resonance driven turbulence is presented. In trapped ion resonance driven turbulence, phase space structures are expected to form and can contribute to transport by exerting dynamical friction. Toroidal momentum flux by dynamical friction is calculated. It is shown that dynam...